Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 7 · 40 sums

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

1. 1.A rectangular field is 80 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
2. 2.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
3. 3.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
4. 4.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
5. 5.From a rectangle 19 cm long and 8 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
6. 6.The perimeter of a rectangle is 32 cm and its length is 14 cm. What is its width (in cm)?
7. 7.From a rectangle 9 cm long and 8 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
8. 8.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
9. 9.A rectangular field is 95 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
10. 10.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
11. 11.From a rectangle 16 cm long and 8 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
12. 12.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
13. 13.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
14. 14.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
15. 15.From a rectangle 13 cm long and 12 cm wide, a rectangle 9 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
16. 16.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
17. 17.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
18. 18.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
19. 19.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
20. 20.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
21. 21.The perimeter of a rectangle is 52 cm and its length is 19 cm. What is its width (in cm)?
22. 22.From a rectangle 17 cm long and 11 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
23. 23.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
24. 24.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
25. 25.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
26. 26.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
27. 27.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
28. 28.From a rectangle 18 cm long and 12 cm wide, a rectangle 12 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
29. 29.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
30. 30.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
31. 31.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
32. 32.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
33. 33.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
34. 34.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
35. 35.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
36. 36.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
37. 37.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
38. 38.The perimeter of a rectangle is 68 cm and its length is 18 cm. What is its width (in cm)?
39. 39.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
40. 40.A square has a perimeter of 60 cm. What is its area (in square cm)?

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